Question

A population, p, of bears varies according to p(t) = 250+30 cos t where t is the time, in years, and angles
are measured in radians.
a) What are the maximum and minimum populations?
b) What is the first interval, in years and months, over which the population is increasing?

Answer 1

Answer:

A population, p, of bears varies according to p(t) = 250+30 cos t where t is the time, in years, and angles are measured in radians.

Here are the answers. Hope this helps!                                                        

a) The maximum population is 280 bears and the minimum population is 220 bears.

b) The first interval over which the population is increasing is approximately 3 years and 36 months.